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131010413430341 = 1011376339424577
BaseRepresentation
bin11101110010011100111101…
…001001111000011001000101
3122011212110202222010210012002
4131302130331021320121011
5114132433311314232331
61142345204132235045
736411122114151644
oct3562347511703105
9564773688123162
10131010413430341
1138820227a464a5
121283a84246ba85
1358142c90a2813
14244cd1b62735b
151022d351359cb
hex77273d278645

131010413430341 has 8 divisors (see below), whose sum is σ = 132308521582104. Its totient is φ = 129712324403200.

The previous prime is 131010413430307. The next prime is 131010413430371. The reversal of 131010413430341 is 143034314010131.

It can be written as a sum of positive squares in 4 ways, for example, as 120372802874116 + 10637610556225 = 10971454^2 + 3261535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131010413430341 - 210 = 131010413429317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010413430371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9188645 + ... + 18613221.

It is an arithmetic number, because the mean of its divisors is an integer number (16538565197763).

Almost surely, 2131010413430341 is an apocalyptic number.

It is an amenable number.

131010413430341 is a deficient number, since it is larger than the sum of its proper divisors (1298108151763).

131010413430341 is a wasteful number, since it uses less digits than its factorization.

131010413430341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562311.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131010413430341 its reverse (143034314010131), we get a palindrome (274044727440472).

The spelling of 131010413430341 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, four hundred thirty thousand, three hundred forty-one".

Divisors: 1 101 137633 9424577 13900933 951882277 1297132806241 131010413430341